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Finding the Fourth Proportional to 614.53, 919.63 and 541.09

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Solution

The fourth proportional to 614.53, 919.63 and 541.09 is: 809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.53 : 919.63 = 541.09 : x
  2. Step 2: Convert to fraction form
    614.53/919.63 = 541.09/x
  3. Step 3: Cross multiply
    614.53x = 919.63 × 541.09
  4. Step 4: Simplify right side
    614.53x = 497,602.60
  5. Step 5: Solve for x
    x = 497,602.60/614.53
  6. Step 6: Final answer
    x = 809.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.